One of the most popular games that we play in the Kids Cooperate social skills group for middle school age children, many of which have an Autism Spectrum or ADHD diagnosis, is called Dude.
This game is fun, and is used in the context of group to work on eye contact. In social interaction, eye contact is important because it is a social marker for a wide variety of expressions including trust, respect, interest, and understanding. Eye contact also creates an ineffable human connection which is difficult to quantify or describe, and lack of eye contact makes it difficult to trust someone.
Dude is played by a group of 5-10 people, and works best if it takes place sitting at a circular table. Everyone puts their heads down and on the count of three looks up and directly at the eyes of another player. If two players look at each other at the same time and lock eyes, they both say "Duuuuude" and are out of the next round. This continues until there is only one or two players left depending on whether you start with an off or even number.
Normally I would shy away from a game in which you "lose" when you make eye contact, but the social reward of saying "dude" somehow makes it more fun to "lose" than win. I did not invent the game dude. I read about it on some other website, and as soon as I can track down the source I will come back and add it in to this post. As far as I know we are the only ones using it in a therapeutic context to teach social skills.